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Finding the Fourth Proportional to 715,971, 988,014.72 and 393,678.84

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Solution

The fourth proportional to 715,971, 988,014.72 and 393,678.84 is: 543,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,971 : 988,014.72 = 393,678.84 : x
  2. Step 2: Convert to fraction form
    715,971/988,014.72 = 393,678.84/x
  3. Step 3: Cross multiply
    715,971x = 988,014.72 × 393,678.84
  4. Step 4: Simplify right side
    715,971x = 388,960,488,872.53
  5. Step 5: Solve for x
    x = 388,960,488,872.53/715,971
  6. Step 6: Final answer
    x = 543,262.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.